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Alternating Current Applied to an Inductor

In an AC ci...

Question

In an $A C$ circuit, a resistance of $R$ ohm is connected in series with an inductance $L$ . If phase angle between voltage and current be $45^{o}$ , the value of inductive reactance will be

A

R / 4

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B

R / 2

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C

R

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D

c a n n o t b e f o u n d w i t h g i v e n t h e d a t a

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Solution

The correct option is D $R$
$tan ϕ = \frac{ω L}{R} = \frac{X_{L}}{R}$
Given: $ϕ = 45^{o} \Rightarrow X_{L} = R$

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